📄 gabor2d.m
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% gabor2d() - generate a two-dimensional gabor matrice.%% Usage:% >> [ matrix ] = gabor2d(rows, columns);% >> [ matrix ] = gabor2d( rows, columns, freq, ...% angle, sigmaR, sigmaC, meanR, meanC, dephase, cut)% Example :% >> imagesc(gabor2d( 50, 50))%% Inputs:% rows - number of rows % columns - number of columns % freq - frequency of the sinusoidal function in degrees (default: 360/rows)% angle - angle of rotation of the resulting 2-D array in% degrees of angle {default: 0}.% sigmaR - standard deviation for rows {default: rows/5}% sigmaC - standard deviation for columns {default: columns/5}% meanR - mean for rows {default: center of the row}% meanC - mean for columns {default: center of the column}% dephase - phase offset in degrees {default: 0}. A complex Gabor wavelet % can be build using gabor2dd(...., 0) + i*gabor2d(...., 90), % 0 and 90 being the phase offset of the real and imaginary parts% cut - percentage (0->1) of maximum value below which to remove values % from the matrix {default: 0}% Ouput:% matrix - output gabor matrix%% Author: Arnaud Delorme, CNL / Salk Institute, 2001%123456789012345678901234567890123456789012345678901234567890123456789012% Copyright (C) 2001 Arnaud Delorme, Salk Institute, arno@salk.edu%% This program is free software; you can redistribute it and/or modify% it under the terms of the GNU General Public License as published by% the Free Software Foundation; either version 2 of the License, or% (at your option) any later version.%% This program is distributed in the hope that it will be useful,% but WITHOUT ANY WARRANTY; without even the implied warranty of% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the% GNU General Public License for more details.%% You should have received a copy of the GNU General Public License% along with this program; if not, write to the Free Software% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA% $Log: gabor2d.m,v $% Revision 1.3 2003/12/01 15:10:33 scott% header msg%% Revision 1.2 2003/01/10 03:10:40 arno% debuging rotation (recentering)%% Revision 1.1 2002/04/05 17:39:45 jorn% Initial revision%% 01-25-02 reformated help & license -ad function mat = gabor2d( sizeX, sizeY, freq, angle, sigmaX, sigmaY, meanX, ...meanY, dephase, cut);if nargin < 2 help gabor2d return; end;if nargin < 3 freq = 360/sizeX;end;if nargin < 4 angle = 0;end;if nargin < 5 sigmaX = sizeX/5;end;if nargin < 6 sigmaY = sizeY/5;end;if nargin < 7 meanX = (sizeX+1)/2;end;if nargin < 8 meanY = (sizeY+1)/2;end;if nargin < 9 dephase = 0;end;if nargin < 10 cut = 0;end;freq = freq/180*pi;X = linspace(1, sizeX, sizeX)'* ones(1,sizeY);Y = ones(1,sizeX)' * linspace(1, sizeY, sizeY);%[-sizeX/2:sizeX/2]'*ones(1,sizeX+1);%Y = ones(1,sizeY+1)' *[-sizeY/2:sizeY/2];rotatedmat = ((X-meanX)+i*(Y-meanY)) * exp(i*angle/180*pi);mat = sin(real(rotatedmat)*freq + dephase/180*pi).*exp(-0.5*( ((X-meanX)/sigmaX).*((X-meanX)/sigmaX)... +((Y-meanY)/sigmaY).*((Y-meanY)/sigmaY)))... /((sigmaX*sigmaY)^(0.5)*pi); return;for X = 1:sizeX for Y = 1:sizeY mat(X,Y) = sin(real((X-meanX+j*(Y-meanY))*exp(i*angle/180*pi))*freq + dephase/180*pi) ... .*exp(-0.5*( ((X-meanX)/sigmaX).*((X-meanX)/sigmaX)... +((Y-meanY)/sigmaY).*((Y-meanY)/sigmaY)))... /((sigmaX*sigmaY)^(0.5)*pi); end;end;if cut > 0 maximun = max(max(mat))*cut; I = find(mat < maximun); mat(I) = 0;end;return;
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